Least Common Multiple (LCM) of 131 and 70
The least common multiple (LCM) of 131 and 70 is 9170.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 131 and 70?
First, calculate the GCD of 131 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 70 = 1 remainder 61 |
| 2 | 70 ÷ 61 = 1 remainder 9 |
| 3 | 61 ÷ 9 = 6 remainder 7 |
| 4 | 9 ÷ 7 = 1 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 53 | 3869 |
| 54 and 72 | 216 |
| 62 and 109 | 6758 |
| 115 and 160 | 3680 |
| 198 and 171 | 3762 |